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摘要翻译：
费米和动能的计算通常采用周期边界条件模型，对于粒子受限的低维问题，这是不自洽的。因此，对于受限粒子，利用势盒模型自洽地计算了3维、2维和1维情况下的费米能和动能。这种方法更加合乎逻辑和自洽。然后导出了忽略维数的条件，即粒子在箱体中的运动可以看作2维和1维的条件。
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英文标题：
《Some problems of low-dimensional physics》
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作者：
Yuri Kornyushin
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最新提交年份：
2012
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分类信息：
一级分类：Physics 物理学
二级分类：Materials Science 材料科学
分类描述：Techniques, synthesis, characterization, structure. Structural phase transitions, mechanical properties, phonons. Defects, adsorbates, interfaces
技术，合成，表征，结构。结构相变，力学性质，声子。缺陷，吸附质，界面
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics 物理学
二级分类：Quantum Physics 量子物理学
分类描述：Description coming soon
描述即将到来
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英文摘要：
Fermi and kinetic energy are usually calculated in periodic boundary conditions model, which is not self-consistent for low-dimensional problems, where particles are confined. Thus for confined particles the potential box model was used self-consistently to calculate Fermi and kinetic energies in 3-, 2-, and 1-dimensional cases. This approach is much more logical and self-consistent. Then the conditions for neglecting dimensions, that is conditions under which the movement of particles in the box could be considered as 2- and 1- dimensional, were derived.
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PDF链接：
https://arxiv.org/pdf/705.1137
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